Answer:
c
Step-by-step explanation:
Because it is
a new social media site is increasing its user base by approximately 5% per month. If the site currently has 33,760 users, what will the approximate user base be 12 months from now
The approximate user base after 12 months will be 60,626. The solution has been obtained by using the concept of compounding.
What is compounding?
Compounding is a process where interest is levied again overall after being credited to the initial sum and this keeps going for t period of time.
According to the formula,
A = P (1 + r)ⁿ
where A represents the value at time t, and the interest rate is r.
We are given that the user of the social media site is increasing by approximately 5% per month. This means that the user will be compounding per month.
So, the user base after 12 months will be
⇒User base = (current user base) * (1 + r)ⁿ
⇒User base = (33,760) * (1 + 0.05)¹²
⇒User base = (33,760) * 1.7958
⇒User base ≈ 60,626
Hence, the approximate user base after 12 months will be 60,626.
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STUV~GFIH.
What is the similarity ratio of STUV to GFIH?
The similarity ratio of polygon STUV to polygon GFIH is 5 / 1
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Two polygons are similar if the ratio of their corresponding sides are in the same proportion. Hence:
Similarity ratio of STUV to GFIH = TU / GH = 5 / 1
The similarity ratio of polygon STUV to polygon GFIH is 5 / 1
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Howard polled a large sample of individuals to find the percentage of students who are males and the percentage of
students who are females. Which of the following should be used to display the given categories of data?
Select the correct answer below:
- stem-and-leaf plot
- bar graph
-line graph
-dot plot
Answer:
Either a pie chart or a bar graph
Step-by-step explanation:
THIS THE CORRECT ANSWER
Twenty students bought tickets for a school party. All of the money received for these 20 tickets was used to purchase beverages. Then, an additional 10 students bought tickets. Rather than use this additional money to buy more refreshments, all 30 students received a $3.00 refund. How many dollars were used to buy beverages?
Answer:
87
Step-by-step explanation:
Answer:
$87 were used on beverages
Step-by-step explanation:
what is 83 as the sum of three square numbers
Answer:
The smallest prime with a digit sum of 83 is 3999998999.
Step-by-step explanation:
Answer:
3, 5, & 7
Step-by-step explanation:
3*3= 9
5*5=25
7*7 = 49
9+25+49 = 83
MATH: EXPONENTIAL WORK PROBLEM 1. HELP PLEASE! 13 pts
The amount of the radioactive substance is 374.6 g
How to determine the amount of radioactive substance?The given parameters are:
Initial, a = 424 mgRate, r = 6%Time, t = 2 hoursThe amount of the radioactive substance is calculated as:
A(t) = a(1 - r)^t
This gives
A(t) = 424 * (1 - 6%)^t
At 2 hours, we have:
A(2) = 424 * (1 - 6%)^2
Evaluate
A(2) = 374.6
Hence, the amount of the radioactive substance is 374.6 g
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Point X is at 2/3 on a number line. On the same number line, point Y is the sane distance for 0 as point X, but has a numerator of 8. What is the Denominator of the fraction on point Y?
Answer:
12
Step-by-step explanation:
Simplify 3(x+2) + 2x + 5
Answer:
\(5x+11\)
Step-by-step explanation:
Step 1: Distribute
\(3x+6+2x+5\)
Step 2: Add like terms
\(5x+11\) < your answer
Gasoline costs 1.74 euro per liter in France. What is the price in dollars per gallon?
Answer:
1.97
Step-by-step explanation:
Answer: it is $1.97
Step-by-step explanation: it is $1.97 per gallon because 1.74 euros in usd is $1.97.
A waiter carried 6 baskets with 5 dinner rolls in each
basket. How many dinner rolls did he carry? Show
your work.
Answer:
30 dinner rolls
Step-by-step explanation:
There are 5 dinner rolls per basket and there are 6 baskets
So there are 6 groups of 5:
5 + 5 + 5 + 5 + 5 + 5
In other words, multiply 5 and 6
5 dinner rolls x 6 = 30 dinner rolls
jenny had 20 makers her sis gave her a few she has 84 now how many did she have befor
Jenny started with 20 markers
her sister gave her 64
Answer:
64
Step-by-step explanation:
64 because 20 to 84 is 64
64+20=84
84-64=20 so it is 64
Real numbers a and b satisfy
a + ab = 250
a - ab = -240
Enter all possible values of a, separated by commas.
The only possible value of "a" that satisfies the given equations is a = 5.
The possible values of "a" that satisfy the given equations, let's solve the system of equations:
a + ab = 250 ---(1)
a - ab = -240 ---(2)
We can solve this system by using the method of substitution. Rearranging equation (2), we get:
a = ab - 240 ---(3)
Substituting equation (3) into equation (1), we have:
(ab - 240) + ab = 250
2ab - 240 = 250
2ab = 250 + 240
2ab = 490
ab = 490/2
ab = 245
Now we have the value of "ab."
We can substitute this back into equation (3) to solve for "a":
a = (245) - 240
a = 5
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Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 20 miles per hour slower than the westbound train. If the two trains are 360 miles apart after 2 hours, what is the rate of the eastbound train?
Answer:
Westbound = x;
Eastbourne = x-20;
So they will have the common rate: 360/2 = 180;
x+x-20 = 180
2x = 200;
x = 100;
So Eastbourne will be 100-20 = 80 miles per an hour;
The ratio of the number of cookies to the number of candies in different gift boxes 5:7 whitch table best shows the number of cookies and candies
40
55
23
26
HELP ASAP PLS
Answer:
26
Step-by-step explanation:
180-63-78 = 39
180 - 39- 59 =82
180-82-72=26
A customer at a department store has $45.75. How many neckties can the customer buy if each tie costs $15.25? (ღ˘⌣˘ღ)
Answer:
The customer can buy 3 neckties
Step-by-step explanation
$45.75 divided by $15.25 is 3.
Which of the expressions below has a 5 in the thousandths place of the sum? Select all that apply.
A) 4.328 + 19.237
B) 4.324 + 5.687
C) 4.322 + 3.013
D) 2.043 + 3.046
A company created a new container in the shape of a
triangular prism that will hold sunflower seeds. A three-
dimensional image of the container is shown below, as
well as a two-dimensional image of the base.
6 in.
3.2 in.
2 in.
3.2 in.
1 in.
square inches
1 in.
The container will be made from cardboard. How many
square inches of cardboard are needed to make one
container? Assume there are no overlapping areas.
The number of square inches of cardboard that are needed to make one
the container is 18.
We have,
The volume of the triangular prism.
= Area of the triangle x height
Now,
Height = 6 in
And,
To find the area of a triangle, we can use Heron's formula.
A = √(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.
Let's calculate the area using Heron's formula:
s = (3.2 + 3.2 + 2) / 2 = 4.2
A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))
A = √(4.2 x 1 x 1 x 2.2)
A = √(9.24)
A ≈ 3.04 square inches
Now,
The volume of the triangular prism.
= Area of the triangle x height
= 3.04 x 6
= 18.24 in²
Now,
Area of one cardboard.
= 1² in²
= 1 in²
Now,
The number of square inches of cardboard that are needed to make one
container.
= The volume of the triangular prism / Area of one cardboard
= 18.24 in² / 1 in²
= 18.24
= 18
Therefore,
The number of square inches of cardboard that are needed to make one
the container is 18.
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Find the solution set of the inequality
\qquad5x + 13 \geq -37.5x+13≥−37.
5x + 13 ≥ -37
The solution set of the inequality 5x + 13 ≥ -37 is represented by x≥-10
and internal notation is [-10,∞).
Given the inequality equation is 5x + 13 ≥ -37.
Now solve the equation.
⇒ 5x + 13 ≥ -37
Arrange the constant terms on one side.
⇒ 5x ≥ -37 - 13
Subtract the terms.
⇒ 5x ≥ -50
Now solve for x.
⇒ x ≥ -50/5
⇒ x ≥ -10
Hence the solution set is x ≥ -10.
So, the internal notation is [-10,∞).
Therefore, the solution set of the inequality is x ≥ -10.
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Kaseem had 1/4 box of candy. He ate 1/2 of the candy. What fraction of the box did Kaseem eat? Show all work.
Answer:
1/8
Step-by-step explanation:
So he had 1/4 of a candy box and he ate 1/2 of it. 1/2 of 1/4 is 1/8 because 1/4 × 1/2 =1/8
A school district’s property tax rate rises from 2.5% to 2.7% to cover a $300,000 budget deficit (shortage of money). What is the value of the property in the school district to the nearest dollar? (Note: Property is assessed at 100% of its value.)
A school district’s property tax rate rises from 2.5% to 2.7% to cover a $300,000 budget deficit (shortage of money).
What is the value of the property in the school district to the nearest dollar?
Let x represents the value of the property in the school district.
The increase in property tax rate is
\(2.7\%-2.5\%=0.2\%\)0.2% means 0.2/100 = 0.002 (in decimal)
So, we can write the following equation
\(0.002x=\$300,000\)Let us solve the equation for x.
\(\begin{gathered} \frac{0.002x}{0.002}=\frac{\$300,000}{0.002} \\ x=\$150,000,000 \end{gathered}\)Therefore, the value of the property in the school district (to the nearest dollar) is
\(\$150,000,000\)That is 150 million dollars.
Use the formula P = 2l + 2w to find the length l of a rectangular lot if the width w is 55 feet and the perimeter P is 260 feet.l = ? feet
In order to determine the length of the given rectangle, Solve the equation for the perimeter of the rectangle for l and replace w=55ft and P=260ft, and simplify:
\(\begin{gathered} P=2l+2w \\ 2l=P-2w \\ l=\frac{P-2w}{2} \\ l=\frac{260ft-2(55ft)}{2} \\ l=\frac{260ft-110ft}{2} \\ l=\frac{150ft}{2}=75ft \end{gathered}\)Hence, the length of the rectangle is 75ft
The 2011 Super Bowl had an attendance of 103,219 people. The 2012 Super Bowl had an attendance of just 68,658 people. About how many more people attended the Super Bowl in 2011 than in 2012?
Answer:
to get the correct amount of people find the correct amount of people then subtract
2011 people- 2012 people
Step-by-step explanation:
ANSWER QUICKLY FOR 70 POINTS !!!!
Answer:
70
Step-by-step explanation:
What is the range of the function shown on the graph
Answer:
-2<=y<=-7
Step-by-step explanation:
Determine whether each sequence is geometric. Explain.
256, 128, 64, 32, ...
Answer:
Its geometric because each number is being divided by 2.
What is the missing length?
H:8ft
B:?
Área=48.8
The value of the missing length of the triangle is 12.2 feet
Calculating the missing length of the triangleThe given dimensions of the triangle are
Area = 48.8 square feet
Height = 8 feet
Mathematically, the area of a triangle can be represented as
Area = 0.5 * Base * Height
When the given values are substituted into the above equation, we have
48.8 = 0.5 * 8 * Base
Evaluating the products, we have
48.8 = 4 * Base
So, we have
Base = 12.2
Include the units
Base = 12.2 feet
So, the calculated base of the triangle is 12.2 feet
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Solve the equation. Please help
\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)
A new computer graphics company employs 10 programmers. The company decides to expand into digital animation and needs to transfer 3 of the programmers into the new department. How many different combinations of 3 programmers can be chosen to transfer to the new department?
A. 3
B. 30
C. 120
D. 840
There are 120 different combinations of 3 programmers that can be chosen to transfer to the new department
How to determine the ways of selection?From the question, we have
Total number of programmers, n = 10
Numbers to programmers to select, r = 3
The number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 10 and r = 3
Substitute the known values in the above equation
Total = ¹⁰C₃
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 10!/(7! * 3!)
Evaluate
Total = 120
Hence, the number of ways is 120
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1,992 registered voters were ask "Based on what you know, do you believe the United States is winning or losing the War in Afghanistan?" 23% responded we are winning. 38% responded we are losing. 39% responded Don’t Know/No Opinion. The reported margin of error was +/-2%.
What is the lower bound for the 95% confidence interval for the percentage of voters that believe that the United States is losing the War?
Enter your answer as a percentage rounded to the nearest tenth of a percent.
Answer:
losing,losing,losing.
The lower bound for the 95% confidence interval for the percentage of voters that believe that the United States is losing the War is 33.8%.
What is the upper and lower bound?Upper and lower bounds are the maximum and minimum values that a number could have been before it was rounded. They can also be called limits of accuracy. The upper and lower bounds can be written using error intervals.
The lower bound for the 95% confidence interval can be calculated using the following formula:
Lower Bound = Percentage - (1.96 * Margin of Error)
In this case, the lower bound is calculated as:
Lower Bound = 38% - (1.96 * 2%) = 33.8%
Therefore, the lower bound for the 95% confidence interval for the percentage of voters that believe that the United States is losing the War is 33.8%.
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